Quantum Variance and Ergodicity for the baker's map

Details Quantum Variance and Ergodicity for the baker's map Quantum Variance and Ergodicity for the baker's map

2004-12-16

arxiv.org/abs/math-ph/0412058v3

Communications in Mathematical Physics 263, Number 2 (2006) 325 - 352

Physics

Mathematical Physics

Scientific paper

10.1007/s00220-005-1397-3

We prove a Egorov theorem, or quantum-classical correspondence, for the
quantised baker's map, valid up to the Ehrenfest time. This yields a
logarithmic upper bound for the decay of the quantum variance, and, as a
corollary, a quantum ergodic theorem for this map.

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